Multi-scale method for the quasi-periodic structures of composite materials

DOI10.1016/j.amc.2010.12.068zbMath1388.74025OpenAlexW1974025340MaRDI QIDQ628967

Fang Su, Qiao-Li Dong, Zhan Xu, Jun-Zhi Cui

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.068

zbMATH Keywords

finite element methodmulti-scale analysishomogenization methodcorrect termquasi-periodic structure

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (5)

Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates ⋮ Homogenization of the wave equation with non-uniformly oscillating coefficients ⋮ Second-order two-scale computational method for damped dynamic thermo-mechanical problems of quasi-periodic composite materials ⋮ A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures ⋮ A Second-Order Two-Scale Algorithm for Thermo-Mechanical Coupling Problems in Quasi-Periodic Porous Materials

Cites Work

• Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
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